What is the Least Common Multiple of 86150 and 86155?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 86150 and 86155 is 1484450650.
LCM(86150,86155) = 1484450650
Least Common Multiple of 86150 and 86155 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86150 and 86155, than apply into the LCM equation.
GCF(86150,86155) = 5
LCM(86150,86155) = ( 86150 × 86155) / 5
LCM(86150,86155) = 7422253250 / 5
LCM(86150,86155) = 1484450650
Least Common Multiple (LCM) of 86150 and 86155 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 86150 and 86155. First we will calculate the prime factors of 86150 and 86155.
Prime Factorization of 86150
Prime factors of 86150 are 2, 5, 1723. Prime factorization of 86150 in exponential form is:
86150 = 21 × 52 × 17231
Prime Factorization of 86155
Prime factors of 86155 are 5, 17231. Prime factorization of 86155 in exponential form is:
86155 = 51 × 172311
Now multiplying the highest exponent prime factors to calculate the LCM of 86150 and 86155.
LCM(86150,86155) = 21 × 52 × 17231 × 172311
LCM(86150,86155) = 1484450650
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